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45874680 = 2335537213
BaseRepresentation
bin1010111011111…
…1110111111000
310012022200020020
42232333313320
543220442210
64315130440
71064633265
oct256776770
9105280206
1045874680
1123993365
1213443a20
1396727a7
14614226c
154062770
hex2bbfdf8

45874680 has 64 divisors (see below), whose sum is σ = 140240160. Its totient is φ = 12000768.

The previous prime is 45874669. The next prime is 45874693. The reversal of 45874680 is 8647854.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 2754 + ... + 9966.

Almost surely, 245874680 is an apocalyptic number.

45874680 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 45874680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (70120080).

45874680 is an abundant number, since it is smaller than the sum of its proper divisors (94365480).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

45874680 is a wasteful number, since it uses less digits than its factorization.

45874680 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7280 (or 7276 counting only the distinct ones).

The product of its (nonzero) digits is 215040, while the sum is 42.

The square root of 45874680 is about 6773.0849691998. The cubic root of 45874680 is about 357.9791088794.

The spelling of 45874680 in words is "forty-five million, eight hundred seventy-four thousand, six hundred eighty".

Divisors: 1 2 3 4 5 6 8 10 12 15 20 24 30 40 53 60 106 120 159 212 265 318 424 530 636 795 1060 1272 1590 2120 3180 6360 7213 14426 21639 28852 36065 43278 57704 72130 86556 108195 144260 173112 216390 288520 382289 432780 764578 865560 1146867 1529156 1911445 2293734 3058312 3822890 4587468 5734335 7645780 9174936 11468670 15291560 22937340 45874680